Week_11_Regression

Question 1

product moment correlation other names

Answer 1

Pearson correlation coefficient. It is also referred to as simple correlation, bivariate correlation, or merely the correlation coefficient.

Question 2

The r value is close to 1 indicating that respondents’ duration of residence in the city is strongly associated with their attitude towards the city. The positive sign of r implies a positive relationship

Answer 2

True

Question 3

Test Statistic for correlation

Answer 3

𝑡=𝑟((𝑛 −2)/(1-r^2) )^1/2, then see if t >/< T-critical (0.05 degree of freedom)

Question 4

partial correlation coefficient

Answer 4

measures the association between two variables after controlling for, or adjusting for, the effects of one or more additional variables.

Question 5

Correlation focuses on summarizing the degree and the direction of the association between variables as a single number. The purpose of regression is to generate a mathematical function or equation linking those variables.

Answer 5

The researcher has to designate the Independent variable (x) and dependent variable (y).
In regression analysis only the dependent variable is random, independent variable is fixed

Question 6

Y = dependent or criterion variable
X = independent or predictor variable

Answer 6

y=ax+b
a=y-bar - b*x-bar
𝑏=𝐶𝑂𝑉 𝑥𝑦/𝑆2

Question 7

The total variation, SSy

Answer 7

SSy = SSreg + SSres